A phase-resolving, coupled-mode model for wave-current-seabed interaction over steep 3D bottom topography. Parallel architecture implementation

Belibassakis, KA; Gerostathis, TP; Athanassoulis, GA

dc.contributor.author	Belibassakis, KA	en
dc.contributor.author	Gerostathis, TP	en
dc.contributor.author	Athanassoulis, GA	en
dc.date.accessioned	2014-03-01T02:51:01Z
dc.date.available	2014-03-01T02:51:01Z
dc.date.issued	2007	en
dc.identifier.issn	10986189	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35299
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-36448952700&partnerID=40&md5=85458b8a9e99ea7a098f6b2e584366b8	en
dc.subject	Couple-mode theory	en
dc.subject	Modified mild slope	en
dc.subject	Non-homogeneous currents	en
dc.subject	Variable bathymetry	en
dc.subject	Water waves	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Message passing	en
dc.subject.other	Scattering	en
dc.subject.other	Sea level	en
dc.subject.other	Steady flow	en
dc.subject.other	Topography	en
dc.subject.other	Wave propagation	en
dc.subject.other	Couple-mode theory	en
dc.subject.other	Modified mild slope	en
dc.subject.other	Non-homogeneous currents	en
dc.subject.other	Variable bathymetry	en
dc.subject.other	Water waves	en
dc.title	A phase-resolving, coupled-mode model for wave-current-seabed interaction over steep 3D bottom topography. Parallel architecture implementation	en
heal.type	conferenceItem	en
heal.publicationDate	2007	en
heal.abstract	A phase-resolving, coupled-mode model is developed for the wave-current-seabed interaction problem, with application to wave scattering by steady currents over steep three-dimensional bottom topography. The vertical distribution of the wave potential is represented by a series of local vertical modes containing the propagating mode and all evanescent modes, plus an additional term accounting for the bottom boundary condition when the bottom slope is not negligible. Using the above representation, in conjunction with a variational principle, the problem is reduced to a coupled system of differential equations on the horizontal plane. If only the propagating mode is retained in the vertical expansion of the wave potential, and after additional simplifications, the above coupled-mode system is reduced to the mild-slope model derived by Kirby (1984) with application to the problem of wave-current interaction over slowly varying topography. The present system is discretized by using a second-order finite difference scheme and numerically solved by means of a parallel implementation, developed using the message passing programming paradigm on a commodity computer cluster. Thus, direct numerical solution is made feasible for realistic domains corresponding to areas with size of the order of several kilometers. The analytical structure of the present model facilitates its extension to treat non-linear waves, and it can be further elaborated to study wave propagation over random bottom topography and currents. Copyright © 2007 by The International Society of Offshore and Polar Engineers(ISOPE).	en
heal.journalName	Proceedings of the International Offshore and Polar Engineering Conference	en
dc.identifier.spage	2246	en
dc.identifier.epage	2253	en